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Popular >

derivative of sin(x)+1/7 cot(x)

Solution

derivative of

sin (x) + \frac{1}{7} cot (x)

Solution

cos (x) - \frac{1}{7} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{1}{7} cot (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{1}{7} cot (x))

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (\frac{1}{7} cot (x)) = - \frac{1}{7} csc^{2} (x)

= cos (x) - \frac{1}{7} csc^{2} (x)

Popular Examples

integral from 50 to 80 of 25/3 x

\int_{50}^{80} \frac{25}{3} x d x

integral from 1 to 2 of (x^5+4x^7)/(x^4)

\int_{1}^{2} \frac{x ^{5} + 4 x ^{7}}{x ^{4}} d x

(\partial)/(\partial x)(cos(xyz))

\frac{\partial}{\partial x} (cos (x yz))

derivative of (x^5+2)^2(x^4+4)^4 derivative of

(x^{5} + 2)^{2} (x^{4} + 4)^{4}

integral from 6 to 7 of x/(x^2-1)

\int_{6}^{7} \frac{x}{x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(x)+1/7 cot(x) ?
The derivative of sin(x)+1/7 cot(x) is cos(x)-1/7 csc^2(x)
What is the first derivative of sin(x)+1/7 cot(x) ?
The first derivative of sin(x)+1/7 cot(x) is cos(x)-1/7 csc^2(x)